In RPP [1]}, there are three nucleon resonances lying above the threshold of the \(\gamma p\rightarrow K^+\Lambda (1690)\)  reaction with spin \(J \le 7/2\) , namely, the \(N(2190)7/2^-\) , \(N(2300)1/2^+\) , and \(N(2570)5/2^-\)  resonances.For resonance with spin \(J \ge 9/2\) , the vertices and propagators are much more complicated. We postpone the inclusion of them till more data for this reaction become accessible. We then try to include one of them in the \(s\) -channel to describe the data. We use Minuit to fit the model parameters, and the resulted \(\chi ^2\)  per data are \(7.69\) , \(7.64\) , and \(1.17\) , respectively, for results including each of the \(N(2190)7/2^-\) , \(N(2300)1/2^+\) , and \(N(2570)5/2^-\)  resonances. The corresponding results are shown in Fig. REF , where the cyan dot-dashed, blue double-dot-dashed, and red solid lines denote the results obtained by including the \(N(2190)7/2^-\) , \(N(2300)1/2^+\) , and \(N(2570)5/2^-\)  resonances in the \(s\)  channel, respectively. One can see that, while the fits with the \(N(2190)7/2^-\)  and \(N(2300)1/2^+\)  resonances fail to reproduce the data, the fit with the \(N(2570)5/2^-\)  resonance describe the data satisfactorily well.
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